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Maths in a minute: Maths and navigation
How the need to locate your location at sea led to some interesting mathematics.
Here's one of the most elegant proofs in all of maths. Rejoice in its simplicity!
Are there problems computers will never be able to solve, no matter how powerful they become?
In the 1930s Alan Turing discovered a computer program that is logically impossible. What other limits are there to computation?